4092042240 has 1056 divisors, whose sum is σ = 18025652736. Its totient is φ = 875888640.

The previous prime is 4092042233. The next prime is 4092042271. The reversal of 4092042240 is 422402904.

4092042240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177914869 + ... + 177914891.

Almost surely, 2^4092042240 is an apocalyptic number.

4092042240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4092042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012826368).

4092042240 is an abundant number, since it is smaller than the sum of its proper divisors (13933610496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4092042240 is a wasteful number, since it uses less digits than its factorization.

4092042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4092042240 is about 63969.0725272768. The cubic root of 4092042240 is about 1599.4845005972.

The spelling of 4092042240 in words is "four billion, ninety-two million, forty-two thousand, two hundred forty".